A stainless steel fundamentally comprises of, by weight, not more than 0.03% C., not more than 2.0% Si, not more than 5.0% Mn, 6-13% Ni, 16-21% Cr, 0.10-0.30% of N, and 0.02-0.25% Nb with the balance being Fe and inevitable impurity elements. The steel has a good corrosion resistance and a resistance to corrosion in seawater. The steel may further comprise at least one member of Mo and Cu each in an amount of not more than 0.4% S, Se and Te each in an amount of not more than 0.08% Bi, Pb, V, Ti, W, Ta, Hf, Zr and Al each in an amount of not more than 0.30% and P, Ca, Mg and rare earth elements each in an amount of not more than 0.01%. The steel has a recrystallized and worked double structure when subjected to a process comprising rough rolling an steel ingot at a temperature ranging from 1000 to 1200% at a working rate of not less than 50%, cooling at a cooling rate of not less than 4.degree. C./min, subsequently finish rolling at a temperature ranging from 800.degree. to 1000.degree. C., at a working rate of not less than 20%, and cooling at a cooling rate of not less than 4.degree. C./min.